%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN567-1 : TPTP v9.2.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:39:39 PM UTC 2026
% Result : Unsatisfiable 0.30s 1.61s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 19
% Syntax : Number of clauses : 51 ( 22 unt; 3 nHn; 43 RR)
% Number of literals : 95 ( 0 equ; 47 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-1 aty)
% Number of variables : 60 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_19,negated_conjecture,
( p2(X1,f3(f4(c10)))
| p2(X1,f3(f7(f4(c10))))
| p2(X1,f3(f7(f7(f4(c10)))))
| p2(X1,f3(f7(f7(f7(f4(c10))))))
| ~ p2(f6(f8(X1)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_19) ).
cnf(p2_18,negated_conjecture,
( p2(f6(f8(X1)),X1)
| ~ p2(X1,f3(f7(f7(f7(f4(c10)))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_18) ).
cnf(not_p2_12,negated_conjecture,
~ p2(f6(c9),f3(f7(f7(f7(f4(c10)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_12) ).
cnf(p2_17,negated_conjecture,
( p2(f6(f8(X1)),X1)
| ~ p2(X1,f3(f7(f7(f4(c10))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_17) ).
cnf(not_p2_6,negated_conjecture,
~ p2(f6(c9),f3(f7(f7(f4(c10))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_6) ).
cnf(p2_16,negated_conjecture,
( p2(f6(f8(X1)),X1)
| ~ p2(X1,f3(f7(f4(c10)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_16) ).
cnf(not_p2_5,negated_conjecture,
~ p2(f6(c9),f3(f7(f4(c10)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_5) ).
cnf(p2_15,negated_conjecture,
( p2(f6(f8(X1)),X1)
| ~ p2(X1,f3(f4(c10))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_15) ).
cnf(p5_14,negated_conjecture,
( p5(X1,X2)
| ~ p5(X3,X1)
| ~ p5(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_14) ).
cnf(p2_13,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_13) ).
cnf(p5_8,negated_conjecture,
( p5(f8(X1),f8(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_8) ).
cnf(p2_9,negated_conjecture,
( p2(f7(X1),f7(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_9) ).
cnf(p2_7,negated_conjecture,
( p2(f3(X1),f3(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).
cnf(p2_11,negated_conjecture,
( p2(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_11) ).
cnf(p2_10,negated_conjecture,
( p2(f6(X1),f6(X2))
| ~ p5(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_10) ).
cnf(not_p2_4,negated_conjecture,
~ p2(f6(c9),f3(f4(c10))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_4) ).
cnf(p5_3,negated_conjecture,
p5(f8(f6(X1)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_3) ).
cnf(p5_2,negated_conjecture,
p5(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_2) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
cnf(i_0_19,negated_conjecture,
( p2(X1,f3(f4(c10)))
| p2(X1,f3(f7(f4(c10))))
| p2(X1,f3(f7(f7(f4(c10)))))
| p2(X1,f3(f7(f7(f7(f4(c10))))))
| ~ p2(f6(f8(X1)),X1) ),
p2_19,
[final] ).
cnf(i_0_20,negated_conjecture,
( p2(f6(f8(X1)),X1)
| ~ p2(X1,f3(f7(f7(f7(f4(c10)))))) ),
p2_18,
[final] ).
cnf(i_0_21,negated_conjecture,
~ p2(f6(c9),f3(f7(f7(f7(f4(c10)))))),
not_p2_12,
[final] ).
cnf(i_0_22,negated_conjecture,
( p2(f6(f8(X1)),X1)
| ~ p2(X1,f3(f7(f7(f4(c10))))) ),
p2_17,
[final] ).
cnf(i_0_23,negated_conjecture,
~ p2(f6(c9),f3(f7(f7(f4(c10))))),
not_p2_6,
[final] ).
cnf(i_0_24,negated_conjecture,
( p2(f6(f8(X1)),X1)
| ~ p2(X1,f3(f7(f4(c10)))) ),
p2_16,
[final] ).
cnf(i_0_25,negated_conjecture,
~ p2(f6(c9),f3(f7(f4(c10)))),
not_p2_5,
[final] ).
cnf(i_0_26,negated_conjecture,
( p2(f6(f8(X1)),X1)
| ~ p2(X1,f3(f4(c10))) ),
p2_15,
[final] ).
cnf(i_0_27,negated_conjecture,
( p5(X1,X2)
| ~ p5(X3,X1)
| ~ p5(X3,X2) ),
p5_14,
[final] ).
cnf(i_0_28,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_13,
[final] ).
cnf(i_0_29,negated_conjecture,
( p5(f8(X1),f8(X2))
| ~ p2(X1,X2) ),
p5_8,
[final] ).
cnf(i_0_30,negated_conjecture,
( p2(f7(X1),f7(X2))
| ~ p2(X1,X2) ),
p2_9,
[final] ).
cnf(i_0_31,negated_conjecture,
( p2(f3(X1),f3(X2))
| ~ p2(X1,X2) ),
p2_7,
[final] ).
cnf(i_0_32,negated_conjecture,
( p2(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
p2_11,
[final] ).
cnf(i_0_33,negated_conjecture,
( p2(f6(X1),f6(X2))
| ~ p5(X1,X2) ),
p2_10,
[final] ).
cnf(i_0_34,negated_conjecture,
~ p2(f6(c9),f3(f4(c10))),
not_p2_4,
[final] ).
cnf(i_0_35,negated_conjecture,
p5(f8(f6(X1)),X1),
p5_3,
[final] ).
cnf(i_0_36,negated_conjecture,
p5(X1,X1),
p5_2,
[final] ).
cnf(i_0_37,negated_conjecture,
p2(X1,X1),
p2_1,
[final] ).
cnf(i_0_38,plain,
p2(f6(f8(f3(f4(c10)))),f3(f4(c10))),
inference(scs_inference,[],[i_0_37,i_0_26]) ).
cnf(i_0_39,plain,
p2(X1,X1),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_40,plain,
( ~ p2(X1,f3(f4(c10)))
| p2(f6(f8(X1)),X1) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_41,plain,
~ p2(f6(f8(f3(f4(c10)))),f6(c9)),
inference(scs_inference,[],[i_0_37,i_0_34,i_0_26,i_0_28]) ).
cnf(i_0_42,plain,
( ~ p2(X1,X2)
| p2(X3,X2)
| ~ p2(X1,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_43,plain,
~ p2(f6(f8(f6(c9))),f6(c9)),
inference(scs_inference,[],[i_0_21,i_0_37,i_0_34,i_0_25,i_0_23,i_0_26,i_0_28,i_0_19]) ).
cnf(i_0_44,plain,
( p2(X1,f3(f7(f7(f7(f4(c10))))))
| p2(X1,f3(f7(f7(f4(c10)))))
| p2(X1,f3(f7(f4(c10))))
| p2(X1,f3(f4(c10)))
| ~ p2(f6(f8(X1)),X1) ),
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_45,plain,
~ p5(f8(f3(f4(c10))),c9),
inference(scs_inference,[],[i_0_21,i_0_37,i_0_34,i_0_25,i_0_23,i_0_26,i_0_28,i_0_19,i_0_33]) ).
cnf(i_0_46,plain,
( p2(f6(X1),f6(X2))
| ~ p5(X1,X2) ),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_47,plain,
~ p5(c9,f8(f3(f4(c10)))),
inference(scs_inference,[],[i_0_21,i_0_36,i_0_37,i_0_34,i_0_25,i_0_23,i_0_26,i_0_28,i_0_19,i_0_33,i_0_27]) ).
cnf(i_0_48,plain,
p5(X1,X1),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_49,plain,
( ~ p5(X1,X2)
| p5(X3,X2)
| ~ p5(X1,X3) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_50,plain,
$false,
inference(scs_inference,[],[i_0_43,i_0_35,i_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN567-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n029.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 08:39:14 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.30/1.61 % Version : CSE_E---1.7
% 0.30/1.61 % Problem : theBenchmark.p
% 0.30/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 0.30/1.61 % SZS output start CNFRefutation
% See solution above
% 0.30/1.65 % Total time : 1.270s
%------------------------------------------------------------------------------